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Iterative Solution of Nonlinear Equations of the Pseudo-monotone Type in Banach Spaces
| Content Provider | Semantic Scholar |
|---|---|
| Author | Ahmed, Sayed A. |
| Copyright Year | 2008 |
| Abstract | The weak convergence of the iterative generated by J(un+1 un) = (Fun Jun), n 0, 0 < = min 1, 1 to a coincidence point of the mappings F,J : V ! V ? is investigated, where V is a real reflexive Banach space and V ? its dual (assuming that V ? is strictly convex). The basic assumptions are that J is the duality mapping, J F is demiclosed at 0, coercive, potential and bounded and that there exists a non-negative real valued function r(u, ) such that sup u, 2V {r(u, )} = < 1 r(u, )kJ(u )kV ?k (J F)(u) (J F)( )kV ? , 8 u, 2 V. Furthermore, the case when V is a Hilbert space is given. An application of our results to filtration problems with limit gradient in a domain with semipermeable boundary is also provided. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://dml.cz/bitstream/handle/10338.dmlcz/119768/ArchMathRetro_044-2008-4_4.pdf |
| Alternate Webpage(s) | http://www.emis.de/journals/AM/08-4/am1598.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
